Please correct my entry, Thanks. ( 5 )

1 - In the first place, I would like to introduce myself before talking about the details of the project.

We would say "I would like to introduce myself".
2 - Not only could listening to songs could help you to improve your listening skills, but also watching movies could return with great effect.

Great suggestion!
3 - As a matter of fact, Your skills are not suitable to this position, but we will keep your resume in our database, to consider you if there are other chances in the future.

The "as a matter of fact" part might come off as a bit rude in a real life situation.
4 - Today our teacher gave us a suddenly exam. Fortunately, I was preparing myself for something like that. In like a similar manner, I am expecting that he will repeat that next week.
We would call a sudden exam a "pop quiz" where I am from :)
5 - In addition light of your rude behavior, you still don't want to admit your fault. This is not acceptable from of you.
Your first sentence is fine, but I find it to be a bit awkward. I think people might be more liekly to say "You still don't want to admit your fault in light of your rude behaviour. This is unnaceptable".

I can't rate your sentences, because the quality of a sentence depends on context. I can say that you are doing very well! The sentences are well put together and your vocabulary is pretty solid. You might want to be more careful when using commas. The rest is just a matter of typical use and will come with time. Excellent work!